Numerical studies of the ABJM theory for arbi trary N at arbi trary coup ling constant
Numerical studies of the ABJM theory for arbi trary N at arbi trary coup ling constant
复制标题
任意耦合常数下任意N的ABJM理论的数值研究
DOI：
10.1142/s201019451300980x
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Yutaka Yoshida,
中科院分区：
文献类型：
--
作者：
Masanori Hanada、Masazum i Honda. Yoshinori Honma. Jun Nishimura;Shotaro Shiba;Yutaka Yoshida,
We show that the ABJM theory, which is ansuperconformal U (N)× U (N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant by applying a simple Monte Carlo method to the matrix model that can be derived from the theory by using the localization technique. This opens up the possibility of probing the quantum aspects of M-theory and testing the AdS 4/CFT 3 duality at the quantum level. Here we calculate the free energy, and confirm the N 3/2 scaling in the M-theory limit predicted from the gravity side. We also find that our results nicely interpolate the analytical formulae proposed previously in the M-theory and type IIA regimes. Furthermore, we show that some results obtained by the Fermi gas approach can be clearly understood from the constant map contribution obtained by the genus expansion. The method can be easily generalized to the calculations of BPS operators and to other theories that reduce to matrix models.
